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130913115891600 = 24352715584894749
BaseRepresentation
bin11101110001000010010101…
…110001001110011110010000
3122011112011122010122200212010
4131301002111301032132100
5114124340030132012400
61142232353304302520
736401106023550150
oct3561022561163620
9564464563580763
10130913115891600
1138792a39028559
1212823a09771a40
13580809142bba3
14244832b47a760
15102053d2ba450
hex771095c4e790

130913115891600 has 120 divisors (see below), whose sum is σ = 479266683352000. Its totient is φ = 29922997916160.

The previous prime is 130913115891539. The next prime is 130913115891703. The reversal of 130913115891600 is 6198511319031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130913115891600.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7792438975 + ... + 7792455774.

Almost surely, 2130913115891600 is an apocalyptic number.

130913115891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130913115891600 is an abundant number, since it is smaller than the sum of its proper divisors (348353567460400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130913115891600 is a wasteful number, since it uses less digits than its factorization.

130913115891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15584894777 (or 15584894766 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The spelling of 130913115891600 in words is "one hundred thirty trillion, nine hundred thirteen billion, one hundred fifteen million, eight hundred ninety-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 15584894749 31169789498 46754684247 62339578996 77924473745 93509368494 109094263243 124679157992 155848947490 187018736988 218188526486 233773421235 249358315984 311697894980 327282789729 374037473976 389622368725 436377052972 467546842470 545471316215 623395789960 654565579458 748074947952 779244737450 872754105944 935093684940 1090942632430 1168867106175 1246791579920 1309131158916 1558489474900 1636413948645 1745508211888 1870187369880 2181885264860 2337734212350 2618262317832 2727356581075 3116978949800 3272827897290 3740374739760 4363770529720 4675468424700 5236524635664 5454713162150 6233957899600 6545655794580 8182069743225 8727541059440 9350936849400 10909426324300 13091311589160 16364139486450 18701873698800 21818852648600 26182623178320 32728278972900 43637705297200 65456557945800 130913115891600